Search a number
-
+
415288532970 = 232542110960373
BaseRepresentation
bin1100000101100010010…
…00000001111111101010
31110200221011122022111200
412002301020001333222
523301002331023340
6514440402305030
742001144200303
oct6026110017752
91420834568450
10415288532970
11150139606513
126859b358176
1330213b9b95c
14161588537aa
15ac08c04330
hex60b1201fea

415288532970 has 48 divisors (see below), whose sum is σ = 1082315011752. Its totient is φ = 110480549760.

The previous prime is 415288532929. The next prime is 415288532977. The reversal of 415288532970 is 79235882514.

415288532970 is a `hidden beast` number, since 4 + 1 + 528 + 85 + 32 + 9 + 7 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104523536601 + 310764996369 = 323301^2 + 557463^2 .

It is not an unprimeable number, because it can be changed into a prime (415288532977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5442297 + ... + 5518076.

Almost surely, 2415288532970 is an apocalyptic number.

415288532970 is an abundant number, since it is smaller than the sum of its proper divisors (667026478782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

415288532970 is a wasteful number, since it uses less digits than its factorization.

415288532970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10960807 (or 10960804 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 415288532970 in words is "four hundred fifteen billion, two hundred eighty-eight million, five hundred thirty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 421 842 1263 2105 2526 3789 4210 6315 7578 12630 18945 37890 10960373 21920746 32881119 54801865 65762238 98643357 109603730 164405595 197286714 328811190 493216785 986433570 4614317033 9228634066 13842951099 23071585165 27685902198 41528853297 46143170330 69214755495 83057706594 138429510990 207644266485 415288532970